122504104001 has 2 divisors, whose sum is σ = 122504104002. Its totient is φ = 122504104000.

The previous prime is 122504103989. The next prime is 122504104013. The reversal of 122504104001 is 100401405221.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (122504103989) and next prime (122504104013).

It can be written as a sum of positive squares in only one way, i.e., 74420385601 + 48083718400 = 272801^2 + 219280^2 .

It is a cyclic number.

It is not a de Polignac number, because 122504104001 - 2¹⁸ = 122503841857 is a prime.

It is not a weakly prime, because it can be changed into another prime (122504104031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61252052000 + 61252052001.

It is an arithmetic number, because the mean of its divisors is an integer number (61252052001).

Almost surely, 2^122504104001 is an apocalyptic number.

It is an amenable number.

122504104001 is a deficient number, since it is larger than the sum of its proper divisors (1).

122504104001 is an equidigital number, since it uses as much as digits as its factorization.

122504104001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 122504104001 its reverse (100401405221), we get a palindrome (222905509222).

The spelling of 122504104001 in words is "one hundred twenty-two billion, five hundred four million, one hundred four thousand, one".